Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural Networks
Due to the ongoing global warming on the Earth, permafrost degradation has been extensively taking place, which poses a substantial threat to civil and industrial facilities and infrastructure elements, as well as to the utilization of natural resources in the Arctic and high-latitude regions. In or...
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| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/4/585 |
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| author | Viacheslav Glinskikh Oleg Nechaev Igor Mikhaylov Marina Nikitenko Kirill Danilovskiy |
| author_facet | Viacheslav Glinskikh Oleg Nechaev Igor Mikhaylov Marina Nikitenko Kirill Danilovskiy |
| author_sort | Viacheslav Glinskikh |
| collection | DOAJ |
| description | Due to the ongoing global warming on the Earth, permafrost degradation has been extensively taking place, which poses a substantial threat to civil and industrial facilities and infrastructure elements, as well as to the utilization of natural resources in the Arctic and high-latitude regions. In order to prevent the negative consequences of permafrost thawing under the foundations of constructions, various geophysical techniques for monitoring permafrost have been proposed and applied so far: temperature, electrical, seismic and many others. We propose a cross-borehole exploration system for a high localization of target objects in the cryolithozone. A novel mathematical apparatus for three-dimensional modeling of transient electromagnetic signals by the vector finite element method has been developed. The original combination of the latter, the Sumudu integral transform and artificial neural networks makes it possible to examine spatially heterogeneous objects of the cryolithozone with a high contrast of geoelectric parameters, significantly reducing computational costs. We consider numerical simulation results of the transient electromagnetic monitoring of industrial facilities located on permafrost. The formation of a talik has been shown to significantly manifest itself in the measured electromagnetic responses, which enables timely prevention of industrial disasters and environmental catastrophes. |
| first_indexed | 2024-03-07T22:23:10Z |
| format | Article |
| id | doaj.art-c6339707bb194c78ab1290eb60305df1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-07T22:23:10Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c6339707bb194c78ab1290eb60305df12024-02-23T15:26:13ZengMDPI AGMathematics2227-73902024-02-0112458510.3390/math12040585Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural NetworksViacheslav Glinskikh0Oleg Nechaev1Igor Mikhaylov2Marina Nikitenko3Kirill Danilovskiy4Multiscale Geophysics Laboratory, Geophysics Division, Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk 630090, RussiaMultiscale Geophysics Laboratory, Geophysics Division, Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk 630090, RussiaMultiscale Geophysics Laboratory, Geophysics Division, Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk 630090, RussiaMultiscale Geophysics Laboratory, Geophysics Division, Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk 630090, RussiaMultiscale Geophysics Laboratory, Geophysics Division, Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk 630090, RussiaDue to the ongoing global warming on the Earth, permafrost degradation has been extensively taking place, which poses a substantial threat to civil and industrial facilities and infrastructure elements, as well as to the utilization of natural resources in the Arctic and high-latitude regions. In order to prevent the negative consequences of permafrost thawing under the foundations of constructions, various geophysical techniques for monitoring permafrost have been proposed and applied so far: temperature, electrical, seismic and many others. We propose a cross-borehole exploration system for a high localization of target objects in the cryolithozone. A novel mathematical apparatus for three-dimensional modeling of transient electromagnetic signals by the vector finite element method has been developed. The original combination of the latter, the Sumudu integral transform and artificial neural networks makes it possible to examine spatially heterogeneous objects of the cryolithozone with a high contrast of geoelectric parameters, significantly reducing computational costs. We consider numerical simulation results of the transient electromagnetic monitoring of industrial facilities located on permafrost. The formation of a talik has been shown to significantly manifest itself in the measured electromagnetic responses, which enables timely prevention of industrial disasters and environmental catastrophes.https://www.mdpi.com/2227-7390/12/4/585permafrostTEM monitoringSumudu transformvector finite element methodartificial neural networks |
| spellingShingle | Viacheslav Glinskikh Oleg Nechaev Igor Mikhaylov Marina Nikitenko Kirill Danilovskiy Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural Networks Mathematics permafrost TEM monitoring Sumudu transform vector finite element method artificial neural networks |
| title | Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural Networks |
| title_full | Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural Networks |
| title_fullStr | Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural Networks |
| title_full_unstemmed | Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural Networks |
| title_short | Transient Electromagnetic Monitoring of Permafrost: Mathematical Modeling Based on Sumudu Integral Transform and Artificial Neural Networks |
| title_sort | transient electromagnetic monitoring of permafrost mathematical modeling based on sumudu integral transform and artificial neural networks |
| topic | permafrost TEM monitoring Sumudu transform vector finite element method artificial neural networks |
| url | https://www.mdpi.com/2227-7390/12/4/585 |
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